How to solve 2x+y=1,4X+2y=3

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 2x+y=1,4X+2y=3 | Equatix

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Question

$$2x+y=1,4X+2y=3$$

Solve for x, y

$x = -\frac{1}{4} = -0.25$
$y=\frac{3}{2}-2X$

Steps Using Substitution

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

$$2y+4X=3,y+2x=1$$

Pick one of the two equations which is more simple to solve for $y$ by isolating $y$ on the left hand side of the equal sign.

$$2y+4X=3$$

Subtract $4X$ from both sides of the equation.

$$2y=3-4X$$

Divide both sides by $2$.

$$y=\frac{3}{2}-2X$$

Substitute $\frac{3}{2}-2X$ for $y$ in the other equation, $y+2x=1$.

$$\frac{3}{2}-2X+2x=1$$

Subtract $\frac{3}{2}-2X$ from both sides of the equation.

$$2x=2X-\frac{1}{2}$$